Zeph bought some mangosteens and pears in the ratio of 1 : 4 . After buying another 6 fruits each, the ratio becomes 5 : 11. Find the number of mangosteens and pears he has now.
| |
Mangosteens |
Pears |
Difference |
| Before |
1x2 =
2 u |
4x2 =
8 u |
3x2 =
6 u |
| Change |
+ 6 |
+ 6 |
|
| After |
5x1 =
5 u |
11x1 =
11 u |
6x1 =
6 u |
Since the same number of fruits bought for each type of fruits is the same, the difference in the number of mangosteens and pears at first and in the end remains unchanged.
Make the difference in the number of mangosteens and pears the same. LCM of 3 and 6 is 6.
Increase in the number of mangosteens
= 5 u - 2 u
= 3 u
3 u = 6
1 u = 6 ÷ 3 = 2
Number of pears and mangosteens that $(Fred) has now
= 5 u + 11 u
= 16 u
= 16 x 2
= 32
Answer(s): 32
